NJSLA Geometric Principles and Measurement 2

Question 1

A triangle has angles measuring 47° and 63°. What is the measure of the third angle?

Accepted Answer

70°

Answer

The sum of angles in a triangle is 180°, so 180 − 47 − 63 = 70°.

Question 2

A rectangle has a length of 12 cm and a width of 5 cm. What is the length of its diagonal?

Accepted Answer

13 cm

Answer

Using the Pythagorean theorem: √(12² + 5²) = √(144 + 25) = √169 = 13 cm.

Question 3

Which transformation maps a figure to a congruent figure in a different position without changing its size or shape?

Accepted Answer

Both B and C

Answer

Both reflections and rotations are rigid motions that produce congruent figures with no size change.

Question 4

A cylinder has a radius of 4 inches and a height of 10 inches. What is its volume? (Use π ≈ 3.14)

Accepted Answer

502.4 in³

Answer

Volume = π r² h = 3.14 × 16 × 10 = 502.4 in³.

Question 5

Two lines are cut by a transversal. If the co-interior (same-side interior) angles measure 112° and 68°, what is true about the two lines?

Accepted Answer

They are parallel

Answer

Co-interior angles are supplementary (sum = 180°) when lines are parallel; 112 + 68 = 180, so the lines are parallel.

NJSLA Exam Practice Test